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Printable version; Page information; Get shortened URL; Download QR code; In other projects ... English: Diagram of an infinite solenoid. Date: 12 July 2024: Source ...
A solenoid is a one-dimensional homogeneous indecomposable continuum that has the structure of an abelian compact topological group. Solenoids were first introduced by Vietoris for the n i = 2 {\displaystyle n_{i}=2} case, [ 2 ] and by van Dantzig the n i = n {\displaystyle n_{i}=n} case, where n ≥ 2 {\displaystyle n\geq 2} is fixed. [ 3 ]
An infinite solenoid has infinite length but finite diameter. "Continuous" means that the solenoid is not formed by discrete finite-width coils but by many infinitely thin coils with no space between them; in this abstraction, the solenoid is often viewed as a cylindrical sheet of conductive material.
These continuous-time filter functions are described in the Laplace domain. Desired solutions can be transferred to the case of discrete-time filters whose transfer functions are expressed in the z domain, through the use of certain mathematical techniques such as the bilinear transform , impulse invariance , or pole–zero matching method .
In its most general form a loop group is a group of continuous mappings from a manifold M to a topological group G.. More specifically, [1] let M = S 1, the circle in the complex plane, and let LG denote the space of continuous maps S 1 → G, i.e.
Interior view of a turbomolecular pump. A turbomolecular pump is a type of vacuum pump, superficially similar to a turbopump, used to obtain and maintain high vacuum. [1] [2] These pumps work on the principle that gas molecules can be given momentum in a desired direction by repeated collision with a moving solid surface.
The diagram shows the field from a strip of ferromagnetic material with alternating magnetization in the y direction (top left) and in the x direction (top right). Note that the field above the plane is in the same direction for both structures, but the field below the plane is in opposite directions.
The diagram shows the subquotient relations between the 26 sporadic groups. A connecting line means the lower group is subquotient of the upper – and no sporadic subquotient in between. The generations of Robert Griess: 1st, 2nd, 3rd, Pariah. Mathieu groups M 11, M 12, M 22, M 23, M 24; Janko groups J 1, J 2 or HJ, J 3 or HJM, J 4; Conway ...